GCD of 39, 66, 30 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 39, 66, 30 i.e. 3 largest integer that divides all the numbers equally.
GCD of 39, 66, 30 is 3
GCD(39, 66, 30) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 39, 66, 30 is 3
GCD(39, 66, 30) = 3
GCDof 39,66,30 is 3
Given Input numbers are 39, 66, 30
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Greatest Common Divisior
We found the divisors of 39, 66, 30 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 66, 30 is 3.
Therefore, GCD of numbers 39, 66, 30 is 3
Given Input Data is 39, 66, 30
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 39 is 3 x 13
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 30 is 2 x 3 x 5
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 39, 66, 30 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(39, 66) = 858
GCD(39, 66) = ( 39 x 66 ) / 858
GCD(39, 66) = 2574 / 858
GCD(39, 66) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 30) = 30
GCD(3, 30) = ( 3 x 30 ) / 30
GCD(3, 30) = 90 / 30
GCD(3, 30) = 3
GCD of 39, 66, 30 is 3
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FAQs on GCD of numbers 39, 66, 30
1. What is the GCD of 39, 66, 30?
GCD of 39, 66, 30 is 3
2. Where do I get the detailed procedure to find GCD of 39, 66, 30?
You can find a detailed procedure to find GCD of 39, 66, 30 on our page.
3. How to find GCD of 39, 66, 30 on a calculator?
You can find the GCD of 39, 66, 30 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.